Mathematics
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OpenStudy (caozeyuan):
Homework due in 30 min!!!!
Verify Green theorem by computing both the line integral and the double integral
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OpenStudy (caozeyuan):
\[\int\limits_{c}^{?}2x-x ^{3}y ^{5}dx+x ^{3}y ^{6}dy\] on the ellipse\[4x ^{2}+y ^{2}=4\]
OpenStudy (caozeyuan):
my line integral is 7pi while double inegral is 10 times. What's going on?
OpenStudy (caozeyuan):
my bad, the dy term should be x^3*y*8
OpenStudy (caozeyuan):
Why my ans are so diff?
OpenStudy (caozeyuan):
@eliassaab any idea?
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OpenStudy (anonymous):
What was your answer for the line integral?
OpenStudy (caozeyuan):
7pi
OpenStudy (anonymous):
I got 3pi
OpenStudy (caozeyuan):
I am pretty sure I did everything right
OpenStudy (caozeyuan):
do you change the 6 to 8, that's my typo, should be 8
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OpenStudy (anonymous):
with 6 changed to 8, I get 7 pi
OpenStudy (anonymous):
I have not done the double integral yet
OpenStudy (caozeyuan):
Yes, I am going to class in 10 min , so can you get faster, not much time left
OpenStudy (anonymous):
I also got 7 pi for the double integral. Did not do the integral by hand. I did it with Mathematica
OpenStudy (caozeyuan):
what is your integrand and limits?
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OpenStudy (caozeyuan):
I have 3x^2*y^8+5x^3*y^4
OpenStudy (caozeyuan):
x from -1 to 1 and y from -2 to 2
OpenStudy (anonymous):
y from - -Sqrt[4 - 4 x^2] to Sqrt[4 - 4 x^2]
OpenStudy (anonymous):
only one -
OpenStudy (caozeyuan):
yes,I realized hat too
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OpenStudy (anonymous):
and x from -1 ro 1
OpenStudy (caozeyuan):
ok thx
OpenStudy (anonymous):
YW